Question

simplify (9 square root of 3)^2

Answer 1

\[\large (9\sqrt{3})^2\] Distribute your square value to both terms, the \(9\) and the \(\sqrt{3}\). \[(9)^2\cdot (\sqrt{3})^2\] Remember, \[(\sqrt{3})^2 = \sqrt{3} \cdot \sqrt{3} = 3\]

Answer 2

So what would you get?

Answer 3

i got 81 square root of 3

Answer 4

Did you distribute the square to \(\sqrt{3}\)?

Answer 5

Look at my first post once more.

Answer 6

i dont get it still

Answer 7

You got the 81 part correct, but multiply \(\sqrt{3} \times \sqrt{3}\). What do you get when you input this into your calculator?

Answer 8

i get 3

Answer 9

Alright, now multiply 3 x 81. What do you get there?

Answer 10

i get 243

Answer 11

Good job :) There you go.

Answer 12

what do i do after that

Answer 13

You're done :D

Answer 14

oh okay so would it be just 243 or square root of 243

Answer 15

Why do you think it would be square root 243?

Answer 16

idk just because most of the time the answer is usually square root

Answer 17

haha, that's not how you're supposed to go about answering these questions!

Answer 18

oops my bad ill be a little more carful thank you for the help

Answer 19

In my first post, I explained when you are squaring TWO terms within the parenthesis, you are DISTRIBUTING the power of 2 to both terms

Answer 20

that is why you have \((9)^2 \cdot (\sqrt{3})^2\) . Do you understand that?

Answer 21

And remember, don't forget to medal the person you think helped you the most! :)